Answer:
0.8629
Step-by-step explanation:
Given :
Number of trials, n = 400
p = 0.25
q = 1 - p = 1 - 0.25 = 0.75
With the information given, we could use a binomial probability relation to solve :
Recall : P(x = x) = nCx * p^x * q^(n-x)
Therefore, the probability that between 75 (inclusive) and 95 (inclusive) can be interpreted as :
P(75≤X≤90) = P(X ≥ 75) - P(X ≤ 90)
Using a binomial probability calculator :
P(X ≥ 75) = 0.9987
P(X ≤ 90) = 0.1358
0.9987 - 0.1358 = 0.8629
Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?
Answer:
It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.
Step-by-step explanation:
This question is solved by rates, using a rule of three.
52 miles in one hour. How many hours for 247 miles?
1 hour - 52 miles
x hours - 247 miles
Applying cross multiplication:
[tex]52x = 247[/tex]
[tex]x = \frac{247}{52}[/tex]
[tex]x = 4.75[/tex]
It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.
Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
PLEASE HELP WILL MARK BRAINLIST!
Answer:
37.5
Step-by-step explanation
your answer is 37.5
Find the sum of the geometric series if n=6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
-2x + 9y = 2
4x - 18y = -4
Answer:
6x + 27y = -6
Step-by-step explanation:
i looked it up sooo sorry if its wrong lol
The Bransen Family picked 20 red apples, 28 yellow apples, and 12 bushel of green apples. Starting the following day, they ate 2 red apples and 3 yellow apples every day. When 6 red apples are left, how many yellow apples will be left?
9514 1404 393
Answer:
7
Step-by-step explanation:
The number of red apples (r) in terms of the number of days (d) is ...
r = 20 -2d
The number of yellow apples (y) in terms of the number of days (d) is ...
y = 28 -3d
Using the first equation to write and expression for d, we can substitute into the second equation.
r -20 = -2d
(20 -r)/2 = d . . . . from the first equation
Then ...
y = 28 -3(20 -r)/2 = 28 -30 +3/2r = (3/2)r -2
For 6 red apples left, the number of yellow apples left is ...
y = (3/2)(6) -2 = 7
7 yellow apples will be left when 6 red apples are left.
please answer this, I need help
Answer:
-$7
Step-by-step explanation:
20 - 15 = 5
5 + 5 = 10
10 - 10 = 0
0 - 7 = -7
what's the answer for this question
Answer:
B(3/4*1/2)
Step-by-step explanation:
So lets see, we have:
3/4 divded by 2
Any whole number, such as 2, will have a denominator like this:
2/1
So we can rewrite this as:
3/4 divided by 2/1
Now, we can actually rewrite this division as multipication. To do this, you must flip the dividing fraction, which was 2/1.
So now it is 1.2:
3/4*1/2
Looking at the anwers, this should be the seocnd one down.
Hope this helps!
Randomly picking a green care from a standard deck of playing cards
Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5
571
Find the area of square that can be inscribed in circle of radius 8cm
Answer:
A≈201.06cm²
Step-by-step explanation:
Which value of x makes the equation 2+4(6-2x)= 8 true?
Answer:
Step-by-step explanation:
2+4(6-2x)=8
2+24-8x=8
26-8x=8
26-8=8x
18/8=x
2.25=x
substitute the value of x
2+4(6-2x)
2+4(6-2*2.25)
2+6
8
therefore 8=8 so it is true
Answer:
Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.
Please answer this question for me!!!!!!
What is the length of BD?
Answer:
From -6 to positive 1 the length is 7
Step-by-step explanation:
you still add'em.
Answer:
length of BD is 18
just count on the number line and ×2 because it is counting on by 2
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28
divide k800. in the ratio of 5:3
Answer:
k500: k300
Step-by-step explanation:
5 parts :3 parts
there are 5+3=8 parts in total
800 divide by 8 parts = 100 in each part
k800 is 5:3 is k500: k300
6x-5
Step-by-step explanation:
4/5÷4/10
12×2 -64×-11,×+1
×3-×2+7×
___________
6x-5 answer
PLEASE HELP
what's x
cos(x+pi)-sin(x-pi)=0
please show work
sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)
cos (x+pi)=-cos(x)
So according to the question:
cos(pi/2 +x)=cos(x)
Using the solution of cos, obtain:
(pi/2) + x = 2pi +- (x)
case#1: (pi/2) + x = 2pi + (x)
But here, the value of x is canceled, just
case#2: (pi/2) + x = 2pi - (x)
answer------------>>>>>>>>> x=pi-pi/4
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
i need help badly due today
Answer:
Solid A
Step-by-step explanation:
Describe the relationship of the formula.
y = kx
If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another
question in image attached
Cindy buys a boat for $15,000. This will be a simple interest
loan at 5.5% for 10 years. What is the interest on the loan?
Answer:
$8,250
Step-by-step explanation:
I = prt
I = ($15,000)(0.055)(10)
I = $8,250
The interest on the loan is $8250.00
The formula for determining simple interest is : loan amount x time x interest rate
Loan is the amount of money that Cindy borrowed. It is $15,000
interest rate = 5.5%
Time is the length of period of the loan. This is 10 years
$15,000 X 0.055x 10 = $8250
To learn more about simple interest, please check: https://brainly.com/question/9352088?referrer=searchResults
As an avid golfer, you want to estimate your average score for 18 holes of golf. Suppose you know that the standard deviation of your score is 16.425 strokes and you want to find a sample mean that is within 5.947 strokes of your true average for all rounds of golf with 90% confidence. How many rounds would you need to play to determine this
Answer:
21
Step-by-step explanation:
Given that
The holes of golf is 18
The standard deviation of the score is 16.425 strokes
The sample mean is 5.947
And, there is 90% confidence
We need to find out the number of rounds
So,
At 90% confidence interval, the critical value is +/- 1.645
Margin of error = 5.947
Z_0.05 × SD/sqrt (n) = 5.947
1.645 × 16.425/sqrt (n) = 5.947
sqrt(n) = 1.645 × 16.425 ÷ 5.947
sqrt(n) = 4.54
= 21
what is the ratio?
please answer quickly!!!!!
Answer:
3:1
Step-by-step explanation:
If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.
In ΔABC, the measure of ∠C=90°, BC = 16 feet, and AB = 48 feet. Find the measure of ∠B to the nearest tenth of a degree.
Answer:
70.5º
Step-by-step explanation:
cosB = adj/hyp
cosB = 16/48
cosB = 1/3
B = arccos 1/3
Use calculator
∠B = 70.5º
Determine the smallest integer value of x in the solution of the following inequality.
-3x+10≤5
Answer: The smallest integer value of x in the solution is 1.
Step-by-step explanation:
The given inequality: [tex]-3x+10\leq5[/tex]
To solve the inequality, we first subtract 10 from both sides
[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]
Multiply negative sign on both sides ,we get
[tex]3x\geq5[/tex]
Divide both sides by 3, we get
[tex]x\geq\frac{5}{3}[/tex]
i.e. [tex]x\geq 1.6666666667\\[/tex]
[tex]x\geq1[/tex]
Hence, the smallest integer value of x in the solution is 1.
Which equation represents a line which is parallel to the line 3x - y = 6?
Any equation of the form,
⇒ y = 3x + b,
where b is a constant, represents a line parallel to the line 3x - y = 6.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Now, To find the equation of a line that is parallel to 3x - y = 6, we need to find the slope of the line 3x - y = 6.
Hence, we can rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
3x - y = 6
-y = -3x + 6
y = 3x - 6
Therefore, the slope of the line 3x - y = 6 is,
m = 3.
Since we want a line that is parallel to this line, the slope of the new line must also be 3.
Thus, Any equation of the form,
⇒ y = 3x + b,
where b is a constant, represents a line parallel to the line 3x - y = 6.
Learn more about the equation of line visit:
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PLS HELP!! need the answer asap
Which equation can be used to find the length of the missing side x?
help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
using pythagoras theorem formula
a^2+b^2=c^2
19^2+52^2=c^2
361+2704=c^2
[tex]\sqrt{3065}[/tex]=c
55.36=c
55=c